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3. An office copier has an initial price of $2,300. A service contract costs $200 for the first year and increases $30 per year thereafter.
3. An office copier has an initial price of $2,300. A service contract costs $200 for the first year and increases $30 per year thereafter. It can be shown that the total cost of the copier after n years is given by C(n) = 2,300 + 185n+15n. C(n) The average cost per year for n years is given by C(n)= n Complete parts (A) through (C). (A) Find the rational function C. C(n) = (B) Sketch a graph of C for 2 n 20. Choose the correct graph below. OB. OA. 43 1500+ 25 1500- 25 O C. 1500- 0- The minimum average annual cost is approximately $ (Round to the nearest cent as needed.) 0 The average cost per year is at a minimum in approximately (Type a whole number.) 25 O D. 1500- (C) When is the average cost per year at a minimum, and what is the minimum average annual cost? [Hint: Refer to the sketch in part (B) and evaluate C(n) at appropriate integer values until a minimum value is found.] 0+ 0 years. per year. 25
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